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Physics
Quantum Physics
Quantum Mechanics
1. Historical Development and Foundations
2. Mathematical Foundations
3. Wave Function Formalism
4. Quantum Mechanical Operators
5. Hilbert Space and Dirac Notation
6. One-Dimensional Systems
7. Three-Dimensional Systems
8. Angular Momentum Theory
9. The Hydrogen Atom
10. Approximation Methods
11. Identical Particles and Many-Body Systems
12. Scattering Theory
13. Quantum Mechanics of Radiation
14. Relativistic Quantum Mechanics
15. Interpretations and Foundations
16. Advanced Topics
Approximation Methods
Perturbation Theory
Time-Independent Perturbation Theory
Non-Degenerate Case
First-Order Corrections
Second-Order Corrections
Degenerate Case
Matrix Diagonalization
Time-Dependent Perturbation Theory
Sudden Approximation
Adiabatic Approximation
Periodic Perturbations
Fermi's Golden Rule
Variational Method
Variational Principle
Trial Wave Functions
Ground State Energies
Excited States
Applications
Helium Atom
Molecular Systems
WKB Approximation
Semiclassical Method
Classical Turning Points
Connection Formulas
Quantization Conditions
Tunneling Applications
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9. The Hydrogen Atom
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11. Identical Particles and Many-Body Systems